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Simplifying -9(2a + 7) + -5(4 + 5a) = 0 Reorder the terms: -9(7 + 2a) + -5(4 + 5a) = 0 (7 * -9 + 2a * -9) + -5(4 + 5a) = 0 (-63 + -18a) + -5(4 + 5a) = 0 -63 + -18a + (4 * -5 + 5a * -5) = 0 -63 + -18a + (-20 + -25a) = 0 Reorder the terms: -63 + -20 + -18a + -25a = 0 Combine like terms: -63 + -20 = -83 -83 + -18a + -25a = 0 Combine like terms: -18a + -25a = -43a -83 + -43a = 0 Solving -83 + -43a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + -43a = 0 + 83 Combine like terms: -83 + 83 = 0 0 + -43a = 0 + 83 -43a = 0 + 83 Combine like terms: 0 + 83 = 83 -43a = 83 Divide each side by '-43'. a = -1.930232558 Simplifying a = -1.930232558
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